A new class of convex functions and applications in entropy and analysis

Yamin Sayyari and Mehdi Dehghanian

Chaos, Solitons & Fractals, 2024, vol. 181, issue C

Abstract: In this article, we introduce the concepts of k-harmonic mean and k-harmonically convex functions. As an application of k-harmonic mean, we present a model in physics. Also, we prove Jensen type, Hermite–Hadamard type and Mercer type inequalities for these functions. Further, using this results, we give new bounds for Shannon entropy and geometrically mean.

Keywords: Shannon’s entropy; k-mean; k-harmonically convex function; Jensen’s inequality (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924002297

DOI: 10.1016/j.chaos.2024.114677

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